Chapter 10, Problem 10.4P

A sinusoidal voltage V₀, frequency $\omega$, and phase constant $\beta$ propagates in the forward z direction toward the open load end in a lossless transmission line of characteristic impedance Z₀. At the end, the wave totally reflects with zero phase shift, and the reflected wave now interferes with the incident wave to yield a standing wave pattern over the line length (as per Example 10.1). Determine the standing wave pattern for the current in the line. Express the result in real instantaneous form and simplify.